Cleary handw/rite answers and show all steps and work

5. Find the exact value of cos(arcsin( % )). For full credit, explain your reasoning. (2 points) 4. A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 16 18'. When the boat stops, the angle of depression is 48 51'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. (3 points)20. A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 18 33'. When the boat stops, the angle of depression is 51 33'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. (1 point)3. Find the exact value by using a half-angle identity. (4 points) 7n sin 814. Verify the identity. (1 point) COS X 1+ sin x = 2 sec x 1+ sin x COS X B i U Font Family AA A D=. WIN- Y 15. Verify the identity. (1 point) cot X - = -tan x